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46107642 = 2371923041
BaseRepresentation
bin1010111111100…
…0101111111010
310012202111210110
42233320233322
543300421032
64324125150
71066623420
oct257705772
9105674713
1046107642
1124032399
12135367b6
139724839
1461a3110
1540ab7cc
hex2bf8bfa

46107642 has 48 divisors (see below), whose sum is σ = 111264192. Its totient is φ = 12476160.

The previous prime is 46107637. The next prime is 46107673. The reversal of 46107642 is 24670164.

46107642 is nontrivially palindromic in base 4.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13642 + ... + 16682.

It is an arithmetic number, because the mean of its divisors is an integer number (2318004).

Almost surely, 246107642 is an apocalyptic number.

46107642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46107642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55632096).

46107642 is an abundant number, since it is smaller than the sum of its proper divisors (65156550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46107642 is a wasteful number, since it uses less digits than its factorization.

46107642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 46107642 is about 6790.2608197329. The cubic root of 46107642 is about 358.5840523106.

The spelling of 46107642 in words is "forty-six million, one hundred seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 361 399 722 798 1083 2166 2527 3041 5054 6082 7581 9123 15162 18246 21287 42574 57779 63861 115558 127722 173337 346674 404453 808906 1097801 1213359 2195602 2426718 3293403 6586806 7684607 15369214 23053821 46107642